# Precalculus Examples

,
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .
Solve for in the second equation.
Subtract from to get .
Move all terms not containing to the right side of the equation.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Subtract from to get .
Divide each term by and simplify.
Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
Reduce the expression by cancelling the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Simplify the expression.
Multiply by to get .
Rewrite as .
Move the negative in front of the fraction.
Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .
Simplify the right side.
Simplify each term.
Simplify .
Write as a fraction with denominator .
Multiply and to get .
Multiply by to get .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by to get .
Multiply by to get .
Move the negative in front of the fraction.
The solution to the system of equations can be represented as a point.

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